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<h2><span class="refentrytitle">Class template faure_engine</span></h2>
<p>boost::random::faure_engine</p>
</div>
<h2 class="refsynopsisdiv-title">Synopsis</h2>
<div class="refsynopsisdiv"><pre class="synopsis"><span class="comment">// In header: &lt;<a class="link" href="../../boost_random/reference.html#doxygen.headers.faure_8hpp" title="Header &lt;boost/random/faure.hpp&gt;">boost/random/faure.hpp</a>&gt;

</span><span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> RealType<span class="special">,</span> <span class="keyword">typename</span> SeqSizeT<span class="special">,</span> 
         <span class="keyword">typename</span> PrimeTable <span class="special">=</span> <span class="identifier">default_faure_prime_table</span><span class="special">&gt;</span> 
<span class="keyword">class</span> <a class="link" href="classboost_1_1random_1_1faure__engine.html" title="Class template faure_engine">faure_engine</a> <span class="special">{</span>
<span class="keyword">public</span><span class="special">:</span>
  <span class="comment">// types</span>
  <span class="keyword">typedef</span> <span class="identifier">RealType</span> <a name="doxygen.headers.classboost_1_1random_1_1faure__engine_1af2a10b4e576981fc0b4e75130689197d"></a><span class="identifier">result_type</span><span class="special">;</span>

  <span class="comment">// <a class="link" href="classboost_1_1random_1_1faure__engine.html#id-1_3_32_5_6_13_1_1_1_4-bb">friend functions</a></span>
  <span class="keyword">bool</span> <a class="link" href="classboost_1_1random_1_1faure__engine.html#doxygen.headers.classboost_1_1random_1_1faure__engine_1a4704fa78470064069af3494d96dc0bce"><span class="keyword">operator</span><span class="special">==</span></a><span class="special">(</span><span class="keyword">const</span> <a class="link" href="classboost_1_1random_1_1faure__engine.html" title="Class template faure_engine">faure_engine</a> <span class="special">&amp;</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="classboost_1_1random_1_1faure__engine.html" title="Class template faure_engine">faure_engine</a> <span class="special">&amp;</span><span class="special">)</span><span class="special">;</span>
  <span class="keyword">bool</span> <a class="link" href="classboost_1_1random_1_1faure__engine.html#doxygen.headers.classboost_1_1random_1_1faure__engine_1a07d4a0694455aac437d5b60e4e054f25"><span class="keyword">operator</span><span class="special">!=</span></a><span class="special">(</span><span class="keyword">const</span> <a class="link" href="classboost_1_1random_1_1faure__engine.html" title="Class template faure_engine">faure_engine</a> <span class="special">&amp;</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="classboost_1_1random_1_1faure__engine.html" title="Class template faure_engine">faure_engine</a> <span class="special">&amp;</span><span class="special">)</span><span class="special">;</span>
  <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> CharT<span class="special">,</span> <span class="keyword">typename</span> Traits<span class="special">&gt;</span> 
    <span class="identifier">std</span><span class="special">::</span><span class="identifier">basic_ostream</span><span class="special">&lt;</span> <span class="identifier">CharT</span><span class="special">,</span> <span class="identifier">Traits</span> <span class="special">&gt;</span> <span class="special">&amp;</span> 
    <a class="link" href="classboost_1_1random_1_1faure__engine.html#doxygen.headers.classboost_1_1random_1_1faure__engine_1a0cf3077a07c05b511007331447c1e5af"><span class="keyword">operator</span><span class="special">&lt;&lt;</span></a><span class="special">(</span><span class="identifier">std</span><span class="special">::</span><span class="identifier">basic_ostream</span><span class="special">&lt;</span> <span class="identifier">CharT</span><span class="special">,</span> <span class="identifier">Traits</span> <span class="special">&gt;</span> <span class="special">&amp;</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="classboost_1_1random_1_1faure__engine.html" title="Class template faure_engine">faure_engine</a> <span class="special">&amp;</span><span class="special">)</span><span class="special">;</span>
  <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> CharT<span class="special">,</span> <span class="keyword">typename</span> Traits<span class="special">&gt;</span> 
    <span class="identifier">std</span><span class="special">::</span><span class="identifier">basic_istream</span><span class="special">&lt;</span> <span class="identifier">CharT</span><span class="special">,</span> <span class="identifier">Traits</span> <span class="special">&gt;</span> <span class="special">&amp;</span> 
    <a class="link" href="classboost_1_1random_1_1faure__engine.html#doxygen.headers.classboost_1_1random_1_1faure__engine_1ad42881350d193cf2b3460040de83fefa"><span class="keyword">operator</span><span class="special">&gt;&gt;</span></a><span class="special">(</span><span class="identifier">std</span><span class="special">::</span><span class="identifier">basic_istream</span><span class="special">&lt;</span> <span class="identifier">CharT</span><span class="special">,</span> <span class="identifier">Traits</span> <span class="special">&gt;</span> <span class="special">&amp;</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="classboost_1_1random_1_1faure__engine.html" title="Class template faure_engine">faure_engine</a> <span class="special">&amp;</span><span class="special">)</span><span class="special">;</span>

  <span class="comment">// <a class="link" href="classboost_1_1random_1_1faure__engine.html#id-1_3_32_5_6_13_1_1_1_5-bb">public static functions</a></span>
  <span class="keyword">static</span> <span class="identifier">result_type</span> <a class="link" href="classboost_1_1random_1_1faure__engine.html#doxygen.headers.classboost_1_1random_1_1faure__engine_1af3d43ccbe56f449a190352970d67d0c6"><span class="identifier">min</span></a><span class="special">(</span><span class="special">)</span><span class="special">;</span>
  <span class="keyword">static</span> <span class="identifier">result_type</span> <a class="link" href="classboost_1_1random_1_1faure__engine.html#doxygen.headers.classboost_1_1random_1_1faure__engine_1a6b05ac76d5bf5bbab25b1a3eab427b7b"><span class="identifier">max</span></a><span class="special">(</span><span class="special">)</span><span class="special">;</span>

  <span class="comment">// <a class="link" href="classboost_1_1random_1_1faure__engine.html#id-1_3_32_5_6_13_1_1_1_6-bb">public member functions</a></span>
  <span class="keyword">explicit</span> <a class="link" href="classboost_1_1random_1_1faure__engine.html#doxygen.headers.classboost_1_1random_1_1faure__engine_1acc74eb56b4bbe1dd8c7df75753f23ab4"><span class="identifier">faure_engine</span></a><span class="special">(</span><span class="identifier">std</span><span class="special">::</span><span class="identifier">size_t</span><span class="special">)</span><span class="special">;</span>
  <span class="keyword">void</span> <a class="link" href="classboost_1_1random_1_1faure__engine.html#doxygen.headers.classboost_1_1random_1_1faure__engine_1a15917652a308df55205127e5635d3577"><span class="identifier">seed</span></a><span class="special">(</span><span class="identifier">SeqSizeT</span> <span class="special">=</span> <span class="number">0</span><span class="special">)</span><span class="special">;</span>
  <span class="identifier">std</span><span class="special">::</span><span class="identifier">size_t</span> <a class="link" href="classboost_1_1random_1_1faure__engine.html#doxygen.headers.classboost_1_1random_1_1faure__engine_1abd583a13b43259042d5ae4b2b51df6b5"><span class="identifier">dimension</span></a><span class="special">(</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span>
  <span class="identifier">result_type</span> <a class="link" href="classboost_1_1random_1_1faure__engine.html#doxygen.headers.classboost_1_1random_1_1faure__engine_1af68c951627d31baada6b860dca37f761"><span class="keyword">operator</span><span class="special">(</span><span class="special">)</span></a><span class="special">(</span><span class="special">)</span><span class="special">;</span>
  <span class="keyword">void</span> <a class="link" href="classboost_1_1random_1_1faure__engine.html#doxygen.headers.classboost_1_1random_1_1faure__engine_1ab2b142ac92598261e0e29e097ba12d23"><span class="identifier">discard</span></a><span class="special">(</span><span class="identifier">boost</span><span class="special">::</span><span class="identifier">uintmax_t</span><span class="special">)</span><span class="special">;</span>
<span class="special">}</span><span class="special">;</span></pre></div>
<div class="refsect1">
<a name="id-1.3.32.5.6.12.3.4"></a><h2>Description</h2>
<p>Instantiations of class template <a class="link" href="classboost_1_1random_1_1faure__engine.html" title="Class template faure_engine">faure_engine</a> model a  <a class="link" href="../../boost_random/reference.html#boost_random.reference.concepts.quasi_random_number_generator" title="Quasi-Random Number Generator">quasi-random number generator</a> . The <a class="link" href="classboost_1_1random_1_1faure__engine.html" title="Class template faure_engine">faure_engine</a> uses the algorithm described in  </p>
<div class="blockquote"><blockquote class="blockquote"><p>  Henri Faure, Discrepance de suites associees a un systeme de numeration (en dimension s), Acta Arithmetica, Volume 41, 1982, pages 337-351.  </p></blockquote></div>
<p>   </p>
<div class="blockquote"><blockquote class="blockquote"><p>  Bennett Fox, Algorithm 647: Implementation and Relative Efficiency of Quasirandom Sequence Generators, ACM Transactions on Mathematical Software, Volume 12, Number 4, December 1986, pages 362-376.  </p></blockquote></div>
<p> </p>
<p>In the following documentation <code class="computeroutput">X</code> denotes the concrete class of the template <a class="link" href="classboost_1_1random_1_1faure__engine.html" title="Class template faure_engine">faure_engine</a> returning objects of type <code class="computeroutput">RealType</code>, u and v are the values of <code class="computeroutput">X</code>.</p>
<p>Some member functions may throw exceptions of type <code class="computeroutput">std::bad_alloc</code>. </p>
<div class="refsect2">
<a name="id-1.3.32.5.6.12.3.4.5"></a><h3>
<a name="id-1_3_32_5_6_13_1_1_1_4-bb"></a><code class="computeroutput">faure_engine</code> friend functions</h3>
<div class="orderedlist"><ol class="orderedlist" type="1">
<li class="listitem">
<pre class="literallayout"><span class="keyword">bool</span> <a name="doxygen.headers.classboost_1_1random_1_1faure__engine_1a4704fa78470064069af3494d96dc0bce"></a><span class="keyword">operator</span><span class="special">==</span><span class="special">(</span><span class="keyword">const</span> <a class="link" href="classboost_1_1random_1_1faure__engine.html" title="Class template faure_engine">faure_engine</a> <span class="special">&amp;</span> x<span class="special">,</span> <span class="keyword">const</span> <a class="link" href="classboost_1_1random_1_1faure__engine.html" title="Class template faure_engine">faure_engine</a> <span class="special">&amp;</span> y<span class="special">)</span><span class="special">;</span></pre>
<p>Returns true if the two generators will produce identical sequences of outputs. </p>
</li>
<li class="listitem">
<pre class="literallayout"><span class="keyword">bool</span> <a name="doxygen.headers.classboost_1_1random_1_1faure__engine_1a07d4a0694455aac437d5b60e4e054f25"></a><span class="keyword">operator</span><span class="special">!=</span><span class="special">(</span><span class="keyword">const</span> <a class="link" href="classboost_1_1random_1_1faure__engine.html" title="Class template faure_engine">faure_engine</a> <span class="special">&amp;</span> lhs<span class="special">,</span> <span class="keyword">const</span> <a class="link" href="classboost_1_1random_1_1faure__engine.html" title="Class template faure_engine">faure_engine</a> <span class="special">&amp;</span> rhs<span class="special">)</span><span class="special">;</span></pre>
<p>Returns true if the two generators will produce different sequences of outputs. </p>
</li>
<li class="listitem">
<pre class="literallayout"><span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> CharT<span class="special">,</span> <span class="keyword">typename</span> Traits<span class="special">&gt;</span> 
  <span class="identifier">std</span><span class="special">::</span><span class="identifier">basic_ostream</span><span class="special">&lt;</span> <span class="identifier">CharT</span><span class="special">,</span> <span class="identifier">Traits</span> <span class="special">&gt;</span> <span class="special">&amp;</span> 
  <a name="doxygen.headers.classboost_1_1random_1_1faure__engine_1a0cf3077a07c05b511007331447c1e5af"></a><span class="keyword">operator</span><span class="special">&lt;&lt;</span><span class="special">(</span><span class="identifier">std</span><span class="special">::</span><span class="identifier">basic_ostream</span><span class="special">&lt;</span> <span class="identifier">CharT</span><span class="special">,</span> <span class="identifier">Traits</span> <span class="special">&gt;</span> <span class="special">&amp;</span> os<span class="special">,</span> <span class="keyword">const</span> <a class="link" href="classboost_1_1random_1_1faure__engine.html" title="Class template faure_engine">faure_engine</a> <span class="special">&amp;</span> s<span class="special">)</span><span class="special">;</span></pre>
<p>Writes the textual representation of the generator to a <code class="computeroutput">std::ostream</code>. </p>
</li>
<li class="listitem">
<pre class="literallayout"><span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> CharT<span class="special">,</span> <span class="keyword">typename</span> Traits<span class="special">&gt;</span> 
  <span class="identifier">std</span><span class="special">::</span><span class="identifier">basic_istream</span><span class="special">&lt;</span> <span class="identifier">CharT</span><span class="special">,</span> <span class="identifier">Traits</span> <span class="special">&gt;</span> <span class="special">&amp;</span> 
  <a name="doxygen.headers.classboost_1_1random_1_1faure__engine_1ad42881350d193cf2b3460040de83fefa"></a><span class="keyword">operator</span><span class="special">&gt;&gt;</span><span class="special">(</span><span class="identifier">std</span><span class="special">::</span><span class="identifier">basic_istream</span><span class="special">&lt;</span> <span class="identifier">CharT</span><span class="special">,</span> <span class="identifier">Traits</span> <span class="special">&gt;</span> <span class="special">&amp;</span> is<span class="special">,</span> <span class="keyword">const</span> <a class="link" href="classboost_1_1random_1_1faure__engine.html" title="Class template faure_engine">faure_engine</a> <span class="special">&amp;</span> s<span class="special">)</span><span class="special">;</span></pre>
<p>Reads the textual representation of the generator from a <code class="computeroutput">std::istream</code>. </p>
</li>
</ol></div>
</div>
<div class="refsect2">
<a name="id-1.3.32.5.6.12.3.4.6"></a><h3>
<a name="id-1_3_32_5_6_13_1_1_1_5-bb"></a><code class="computeroutput">faure_engine</code> public static functions</h3>
<div class="orderedlist"><ol class="orderedlist" type="1">
<li class="listitem">
<pre class="literallayout"><span class="keyword">static</span> <span class="identifier">result_type</span> <a name="doxygen.headers.classboost_1_1random_1_1faure__engine_1af3d43ccbe56f449a190352970d67d0c6"></a><span class="identifier">min</span><span class="special">(</span><span class="special">)</span><span class="special">;</span></pre>
<p>Returns: Tight lower bound on the set of values returned by operator().</p>
<p>Throws: nothing.    </p>
</li>
<li class="listitem">
<pre class="literallayout"><span class="keyword">static</span> <span class="identifier">result_type</span> <a name="doxygen.headers.classboost_1_1random_1_1faure__engine_1a6b05ac76d5bf5bbab25b1a3eab427b7b"></a><span class="identifier">max</span><span class="special">(</span><span class="special">)</span><span class="special">;</span></pre>
<p>Returns: Tight upper bound on the set of values returned by operator().</p>
<p>Throws: nothing.    </p>
</li>
</ol></div>
</div>
<div class="refsect2">
<a name="id-1.3.32.5.6.12.3.4.7"></a><h3>
<a name="id-1_3_32_5_6_13_1_1_1_6-bb"></a><code class="computeroutput">faure_engine</code> public member functions</h3>
<div class="orderedlist"><ol class="orderedlist" type="1">
<li class="listitem">
<pre class="literallayout"><span class="keyword">explicit</span> <a name="doxygen.headers.classboost_1_1random_1_1faure__engine_1acc74eb56b4bbe1dd8c7df75753f23ab4"></a><span class="identifier">faure_engine</span><span class="special">(</span><span class="identifier">std</span><span class="special">::</span><span class="identifier">size_t</span> s<span class="special">)</span><span class="special">;</span></pre>
<p>Effects: Constructs the <code class="computeroutput">s</code>-dimensional default Faure quasi-random number generator.</p>
<p>Throws: bad_alloc, invalid_argument. </p>
</li>
<li class="listitem">
<pre class="literallayout"><span class="keyword">void</span> <a name="doxygen.headers.classboost_1_1random_1_1faure__engine_1a15917652a308df55205127e5635d3577"></a><span class="identifier">seed</span><span class="special">(</span><span class="identifier">SeqSizeT</span> init <span class="special">=</span> <span class="number">0</span><span class="special">)</span><span class="special">;</span></pre>
<p>Effects: Effectively sets the quasi-random number generator state to the <code class="computeroutput">init</code>-th vector in the <code class="computeroutput">s</code>-dimensional quasi-random domain, where <code class="computeroutput">s</code> == X::dimension(). </p>
<pre class="programlisting"><span class="identifier">X</span> <span class="identifier">u</span><span class="special">,</span> <span class="identifier">v</span><span class="special">;</span>
<span class="keyword">for</span><span class="special">(</span><span class="keyword">int</span> <span class="identifier">i</span> <span class="special">=</span> <span class="number">0</span><span class="special">;</span> <span class="identifier">i</span> <span class="special">&lt;</span> <span class="identifier">N</span><span class="special">;</span> <span class="special">++</span><span class="identifier">i</span><span class="special">)</span>
    <span class="keyword">for</span><span class="special">(</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">size_t</span> <span class="identifier">j</span> <span class="special">=</span> <span class="number">0</span><span class="special">;</span> <span class="identifier">j</span> <span class="special">&lt;</span> <span class="identifier">u</span><span class="special">.</span><span class="identifier">dimension</span><span class="special">(</span><span class="special">)</span><span class="special">;</span> <span class="special">++</span><span class="identifier">j</span> <span class="special">)</span>
        <span class="identifier">u</span><span class="special">(</span><span class="special">)</span><span class="special">;</span>
<span class="identifier">v</span><span class="special">.</span><span class="identifier">seed</span><span class="special">(</span><span class="identifier">N</span><span class="special">)</span><span class="special">;</span>
<span class="identifier">assert</span><span class="special">(</span><span class="identifier">u</span><span class="special">(</span><span class="special">)</span> <span class="special">==</span> <span class="identifier">v</span><span class="special">(</span><span class="special">)</span><span class="special">)</span><span class="special">;</span>
</pre>
<p>    Throws: bad_alloc. </p>
</li>
<li class="listitem">
<pre class="literallayout"><span class="identifier">std</span><span class="special">::</span><span class="identifier">size_t</span> <a name="doxygen.headers.classboost_1_1random_1_1faure__engine_1abd583a13b43259042d5ae4b2b51df6b5"></a><span class="identifier">dimension</span><span class="special">(</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span></pre>
<p>Returns: The dimension of of the quasi-random domain.</p>
<p>Throws: nothing.    </p>
</li>
<li class="listitem">
<pre class="literallayout"><span class="identifier">result_type</span> <a name="doxygen.headers.classboost_1_1random_1_1faure__engine_1af68c951627d31baada6b860dca37f761"></a><span class="keyword">operator</span><span class="special">(</span><span class="special">)</span><span class="special">(</span><span class="special">)</span><span class="special">;</span></pre>
<p>Returns: Returns a successive element of an <code class="computeroutput">s</code>-dimensional (s = X::dimension()) vector at each invocation. When all elements are exhausted, X::operator() begins anew with the starting element of a subsequent <code class="computeroutput">s</code>-dimensional vector.</p>
<p>Throws: range_error.    </p>
</li>
<li class="listitem">
<pre class="literallayout"><span class="keyword">void</span> <a name="doxygen.headers.classboost_1_1random_1_1faure__engine_1ab2b142ac92598261e0e29e097ba12d23"></a><span class="identifier">discard</span><span class="special">(</span><span class="identifier">boost</span><span class="special">::</span><span class="identifier">uintmax_t</span> z<span class="special">)</span><span class="special">;</span></pre>
<p>Effects: Advances *this state as if <code class="computeroutput">z</code> consecutive X::operator() invocations were executed. </p>
<pre class="programlisting"><span class="identifier">X</span> <span class="identifier">u</span> <span class="special">=</span> <span class="identifier">v</span><span class="special">;</span>
<span class="keyword">for</span><span class="special">(</span><span class="keyword">int</span> <span class="identifier">i</span> <span class="special">=</span> <span class="number">0</span><span class="special">;</span> <span class="identifier">i</span> <span class="special">&lt;</span> <span class="identifier">N</span><span class="special">;</span> <span class="special">++</span><span class="identifier">i</span><span class="special">)</span>
    <span class="identifier">u</span><span class="special">(</span><span class="special">)</span><span class="special">;</span>
<span class="identifier">v</span><span class="special">.</span><span class="identifier">discard</span><span class="special">(</span><span class="identifier">N</span><span class="special">)</span><span class="special">;</span>
<span class="identifier">assert</span><span class="special">(</span><span class="identifier">u</span><span class="special">(</span><span class="special">)</span> <span class="special">==</span> <span class="identifier">v</span><span class="special">(</span><span class="special">)</span><span class="special">)</span><span class="special">;</span>
</pre>
<p>Throws: range_error.    Throws: bad_alloc. </p>
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